If A= [ array cc 2 & -3 -4 & 1 array ] , then adj (3 ~A ^ 2 +12 ~A ) is equal to

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

If \(A=\left[\begin{array}{cc} 2 & -3 \\ -4 & 1 \end{array}\right]\), then adj \(\left(3 \mathrm{~A}^{2}+12 \mathrm{~A}\right)\)is equal to
  1. \(\left[\begin{array}{ll} 51 & 63 \\ 64 & 72 \end{array}\right]\)
  2. \(\left[\begin{array}{ll} 51 & 64 \\ 63 & 72 \end{array}\right]\)
  3. \(\left[\begin{array}{cc} 72 & -63 \\ -84 & 51 \end{array}\right]\)
  4. \(\left[\begin{array}{cc} 72 & -64 \\ -63 & 51 \end{array}\right]\)

Answer

(D) [ array cc 72 & -64 -63 & 51 array ]

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